This is good feedback pryzk. Thanks.
The assumption is what I'm digging into. I'm asking what time actually is, and the official definition simply says it's time. It's not enough.
Thanks for that. I'd say that a lot of people who assume the mathematical definition, where the mathematical space causes a problem. It is simply not the same as real space. You can move around in real space. That's why it's space, to move around in. You can't do this with in time. Hence whilst I think it's reasonable to talk about 3+1 dimensions, IMHO talking of 4 dimensions is taking the mathematical model too literally.
Actually, it's just consistency. You should be very worried if you'd derived that periods were not units of time, starting from the assumption that they were.
The assumption is what I'm digging into. I'm asking what time actually is, and the official definition simply says it's time. It's not enough.
That's the point of what I'm saying. Things vary over it. Without variation, change, motion, where's the time? Time is a measure of it, and it doesn't make sense to talk about moving through a measure of motion.Well, time would be useless to physics if nothing varied over it, and could therefore disappear as a parameter. That's hardly a revelation.
It's of great interest to me. The language we use when we talk about time reinforces those assumptions I'm challenging, and I'm asserting that the terminology is wrong."Fast" and "slow" (and their synonyms) are used to describe the rates of processes in general - not just motion. You can talk about a liquid evaporating quickly, or an object absorbing heat slowly. Granted, motion is involved in both these examples, but in neither case is it of direct interest. Anyway, there's no point arguing about terminology.
I don't know of a definition of "dimension" that includes "freedom of movement". Actually, temperature would still be called a dimension in the sense it used to be. The term has two definitions in common use:
One (in mathematics), denotes the cardinal of any basis of a given vector space (it also appears in related contexts). When physicist talk about "three dimensional space" or "four-dimensional space-time", it means they're modelling space and space-time with three and four dimensional vector spaces, respectively.
The other (in physics) loosely means "quantity" - basically anything with a unit. Length, time, temperature, intensity, energy, volume, mass, acceleration, and power are all dimensions in this sense.
Thanks for that. I'd say that a lot of people who assume the mathematical definition, where the mathematical space causes a problem. It is simply not the same as real space. You can move around in real space. That's why it's space, to move around in. You can't do this with in time. Hence whilst I think it's reasonable to talk about 3+1 dimensions, IMHO talking of 4 dimensions is taking the mathematical model too literally.
No problem. I'll maybe tighten the wording here.Special relativity tells us that the laws of physics are Lorentz invariant. Inevitable consequences of this are that moving processes will slow down and contract in the direction of motion with respect to stationary ones. What space and time do is subject to your definitions of the base units of space and time...
It takes seven years as seen in one reference frame, and one year as seen in another.
I am rather. I haven't dwelt on it because the "aether" I end up with is not generally acceptable. Instead I find myself increasingly disatisfied with reference frames.You aren't implying a preferred reference frame, are you?
See comment above about reference frames. People tend to struggle with the Twins Paradox because they're missing something in terms of clarity and explanation.Um, the twin "paradox" is a result of faulty logic. It doesn't need an explanation - just the flaw pointed out (in short, the contradiction is reached by applying properties specific to inertial reference frames to a non-inertial reference frame).
Spacetime is a Space. Maybe I need to quote more history to demonstrate this. Point taken.Evolution to what?
Because people used to burn heretics who said the Earth goes round the Sun?Why is it a problem that all observers are stationary with respect to themselves? In a reference frame attached to the Earth and rotating with the Earth, the Sun goes round the Earth once every 24 hours. Why is this a problem?
No. Emphatically no. You are confusing cause and effect. The effect is that we always measure c to be the same value. The law is not the cause. Look into this some more, it's axiomatic. Dig past it.(Farsight: They don’t explain why the speed of light is always the same). A consequence of the Lorentz invariance of the laws of physics.
It really isn't pointless. It's the whole point. Saying the speed of light is always the same because it's a "law of physics" does not satisfy my curiosity. It shouldn't satisfy yours either. I want to know why it's a law of physics, I want to know what lies beneath.Anyway, no matter what theory anyone comes up with, you can always ask why things are the way they are. Accusing a theory of not explaining and only describing is pointless; every theory has its axioms.
Where? I rather thought I was saying here about speed tallied with your response - if there's an infinity, the maths blows up.You're mixing frames. The speed of an object relative to an observer is the distance travelled in the observer's reference frame per unit of time elapsed, again, in the observer's reference frame. You are measuring the distance travelled over the proper time. This gives the space-like component of the Minkowski four-velocity of a particle (which does become infinite for anything travelling at the speed of light).
Noted. I'm not quite happy with the velocity aspect here, and may revisit it. But I've drawn a fairly remarkable conclusion in a later essay - that the world is in essence "painted in light".The definition of length isn't derived from velocity in general - just the motion of light. There's nothing circular about defining the velocity of, say, a car to be the distance it travels divided by the time taken. The unit of distance is not defined by the motion of the car. You're right that, technically, you can substitute the definition of distance into the definition of velocity, but this is of no practical use and doesn't actually say anything new about velocity. Defining the metre as "the distance travelled by light in 1/299792458 seconds" is only done for the convenience of giving c an exact integer value. There aren't any particularly remarkable conclusions to be drawn from this.
No. That's axiomatic and wrong terminology. It matters. A second elapses. It doesn't pass. Time isn't moving and there's no moving through it, and no travelling.For every second that passes, one second certainly passes. I'll let you decide for yourself whether you want to call that "travelling" or not.
Maybe I should make this clearer. Two clock collide at the same location, they are utterly local, but show different "local" times. It's a contradiction in terms.Local time as opposed to what, exactly?
I can't. You can't either. You could give a mathematical definition, but it won't stand up in the real world.1) What's "negative motion"? Definition (preferably precise and mathematical), please.
I'm not clear what you mean here. Maybe the only way to "travel in time" is to move everything back to where it used to be. To reverse the motions. But those reversed motions are still motions rather than negative motions. It comes back to the recurrent theme that there's no motion through time because time is the measure of motion through space.2) How did you conclude that travelling backwards in time would require something that, according to you, is impossible by definition?